Information on Result #679051
Linear OA(465, 16392, F4, 13) (dual of [16392, 16327, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(457, 16384, F4, 11) (dual of [16384, 16327, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(41, 8, F4, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(464, 16391, F4, 12) (dual of [16391, 16327, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(465, 8196, F4, 2, 13) (dual of [(8196, 2), 16327, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(465, 5464, F4, 3, 13) (dual of [(5464, 3), 16327, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(465, 2731, F4, 13, 13) (dual of [(2731, 13), 35438, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |